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Finding the Fourth Proportional to 600.16, 899.43 and 311.80

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Solution

The fourth proportional to 600.16, 899.43 and 311.80 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.16 : 899.43 = 311.80 : x
  2. Step 2: Convert to fraction form
    600.16/899.43 = 311.80/x
  3. Step 3: Cross multiply
    600.16x = 899.43 × 311.80
  4. Step 4: Simplify right side
    600.16x = 280,442.27
  5. Step 5: Solve for x
    x = 280,442.27/600.16
  6. Step 6: Final answer
    x = 467.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.